圣诞卡片5
几何画板及绘图内容加载中,请稍等……
所属专题
STEAM like Leonardo
①这个范例演示了一个基于三角函数和三维几何的圣诞卡片设计;②涉及的核心数学概念包括余弦函数、三维立体图形、面积计算、抛物线、曲面;③作图要点——从下方『构造摘要』提炼用到了Rotate(旋转)、Angle(角度)、Segment(线段)、Sequence(序列)等GeoGebra命令和对象;④适合高中阶段学习立体几何、解析几何和三角函数的学生使用。
GeoGebra 命令及参数
Rotate(B, 60°, A) → CAngle(B, A, C) → αSegment(B, A) → fSegment(C, A) → gSequence(A + (i / n * (B - A)), i, 1, n) → l1, {(12.083445093799154, 1.30335907514051), (11.990866015973845, 1.1468563483405827), (11.898286938148535, 0.9903536215406554), (11.805707860323226, 0.8338508947407282), (11.713128782497916, 0.6773481679408008), (11.620549704672609, 0.5208454411408735), (11.5279706268473, 0.36434271434094634), (11.43539154902199, 0.20783998754101907), (11.34281247119668, 0.05133726074109157), (11.25023339337137, -0.1051654660588357), (11.157654315546061, -0.26166819285876297), (11.065075237720752, -0.41817091965869024), (10.972496159895442, -0.5746736464586175), (10.879917082070133, -0.7311763732585446), (10.787338004244823, -0.8876791000584721), (10.694758926419514, -1.044181826858399), (10.602179848594204, -1.2006845536583266), (10.509600770768897, -1.357187280458254), (10.417021692943587, -1.5136900072581811), (10.324442615118278, -1.6701927340581086), (10.231863537292968, -1.8266954608580357), (10.139284459467659, -1.9831981876579632), (10.046705381642349, -2.1397009144578907), (9.95412630381704, -2.2962036412578177), (9.86154722599173, -2.4527063680577452), (9.768968148166422, -2.6092090948576723), (9.676389070341113, -2.765711821657599), (9.583809992515803, -2.9222145484575264), (9.491230914690494, -3.078717275257454), (9.398651836865184, -3.2352200020573814), (9.306072759039875, -3.391722728857309), (9.213493681214565, -3.5482254556572355), (9.120914603389256, -3.704728182457163), (9.028335525563946, -3.8612309092570904)}Sequence(A + (i / n * (C - A)), i, 1, n) → l2, {(12.265269969882082, 1.3014346052848191), (12.3545157681397, 1.143007408629201), (12.443761566397319, 0.9845802119735828), (12.533007364654937, 0.8261530153179647), (12.622253162912553, 0.6677258186623466), (12.711498961170172, 0.5092986220067284), (12.80074475942779, 0.35087142535111027), (12.889990557685408, 0.19244422869549216), (12.979236355943026, 0.03401703203987405), (13.068482154200645, -0.12441016461574406), (13.157727952458263, -0.2828373612713624), (13.246973750715881, -0.4412645579269805), (13.336219548973498, -0.5996917545825982), (13.425465347231116, -0.7581189512382167), (13.514711145488734, -0.9165461478938348), (13.603956943746352, -1.074973344549453), (13.69320274200397, -1.233400541205071), (13.782448540261589, -1.3918277378606891), (13.871694338519207, -1.5502549345163072), (13.960940136776825, -1.7086821311719254), (14.050185935034444, -1.867109327827544), (14.13943173329206, -2.025536524483162), (14.228677531549678, -2.18396372113878), (14.317923329807297, -2.3423909177943982), (14.407169128064915, -2.5008181144500163), (14.496414926322533, -2.6592453111056336), (14.585660724580151, -2.817672507761252), (14.67490652283777, -2.9760997044168707), (14.764152321095388, -3.1345269010724883), (14.853398119353006, -3.292954097728107), (14.942643917610622, -3.4513812943837245), (15.03188971586824, -3.609808491039343), (15.121135514125859, -3.7682356876949608), (15.210381312383477, -3.9266628843505793)}Sequence(Segment[Element[l1, i], Element[l2, n - i]], i, 1, n) → l3, {5.911737183617419, 5.645678483363418, 5.384897258234486, 5.1301983744150395, 4.882533786349144, 4.6430292830986835, 4.413013664998517, 4.194048429154841, 3.987954209818554, 3.796827526765424, 3.623037909169396, 3.469191843849837, 3.338047983847853, 3.232370735294448, 3.1547203890655684, 3.10719887211373, 3.091196024749068, 3.1071988721137282, 3.154720389065566, 3.232370735294446, 3.338047983847851, 3.4691918438498384, 3.623037909169397, 3.796827526765425, 3.987954209818555, 4.194048429154841, 4.413013664998515, 4.6430292830986835, 4.882533786349142, 5.130198374415038, 5.384897258234486, 5.645678483363417, 5.911737183617419, NaN}Rotate(E, 60°, D) → FAngle(E, D, F) → βSegment(D, E) → hSegment(D, F) → iSequence(D + (i / n * (E - D)), i, 1, n) → l4, {(12.090792639658329, -0.47989030487556145), (11.980579451771055, -0.670926497213501), (11.870366263883781, -0.8619626895514403), (11.760153075996508, -1.0529988818893798), (11.649939888109234, -1.2440350742273192), (11.53972670022196, -1.4350712665652587), (11.429513512334687, -1.626107458903198), (11.319300324447413, -1.8171436512411376), (11.20908713656014, -2.008179843579077), (11.098873948672866, -2.1992160359170163), (10.988660760785592, -2.390252228254956), (10.878447572898319, -2.5812884205928954), (10.768234385011045, -2.7723246129308348), (10.658021197123771, -2.963360805268774), (10.547808009236498, -3.1543969976067134), (10.437594821349222, -3.345433189944653), (10.32738163346195, -3.5364693822825926), (10.217168445574675, -3.727505574620532), (10.106955257687403, -3.9185417669584717), (9.996742069800128, -4.109577959296411), (9.886528881912854, -4.30061415163435), (9.77631569402558, -4.49165034397229), (9.666102506138307, -4.682686536310229), (9.555889318251033, -4.873722728648168), (9.44567613036376, -5.064758920986108), (9.335462942476486, -5.255795113324047), (9.225249754589212, -5.446831305661986), (9.115036566701939, -5.637867497999926), (9.004823378814665, -5.8289036903378655), (8.894610190927391, -6.019939882675804), (8.784397003040118, -6.210976075013744), (8.674183815152844, -6.402012267351684), (8.56397062726557, -6.593048459689623), (8.453757439378297, -6.784084652027563)}Sequence(D + (i / n * (F - D)), i, 1, n) → l5, {(12.311341429208872, -0.47981962924903815), (12.42167703087214, -0.6707851459604544), (12.532012632535409, -0.8617506626718705), (12.642348234198677, -1.0527161793832867), (12.752683835861946, -1.2436816960947028), (12.863019437525216, -1.434647212806119), (12.973355039188483, -1.625612729517535), (13.083690640851753, -1.8165782462289513), (13.194026242515022, -2.0075437629403674), (13.30436184417829, -2.1985092796517836), (13.41469744584156, -2.3894747963631997), (13.525033047504827, -2.580440313074616), (13.635368649168097, -2.771405829786032), (13.745704250831366, -2.962371346497448), (13.856039852494634, -3.1533368632088643), (13.966375454157903, -3.3443023799202805), (14.076711055821171, -3.5352678966316966), (14.18704665748444, -3.7262334133431128), (14.29738225914771, -3.917198930054529), (14.40771786081098, -4.108164446765945), (14.518053462474247, -4.299129963477361), (14.628389064137517, -4.490095480188777), (14.738724665800785, -4.681060996900193), (14.849060267464054, -4.872026513611609), (14.959395869127324, -5.062992030323025), (15.069731470790591, -5.2539575470344415), (15.180067072453859, -5.444923063745858), (15.290402674117129, -5.635888580457274), (15.400738275780398, -5.82685409716869), (15.511073877443668, -6.017819613880106), (15.621409479106935, -6.208785130591522), (15.731745080770205, -6.399750647302938), (15.842080682433473, -6.590716164014355), (15.952416284096742, -6.781681680725771)}Sequence(Segment[Element[l4, i], Element[l5, n - i]], i, 1, n) → l6, {7.170380370704691, 6.847676227658003, 6.531373164846844, 6.222447409141674, 5.922053591617514, 5.631557188367121, 5.35256990903551, 5.086985702533373, 4.837012826719506, 4.605194162608413, 4.394403725899534, 4.2078029395969025, 4.048737789998815, 3.920561241359732, 3.8263786853555617, 3.7687395613968975, 3.7493296148693434, 3.768739561396898, 3.8263786853555604, 3.9205612413597333, 4.048737789998816, 4.2078029395969025, 4.394403725899535, 4.605194162608413, 4.837012826719506, 5.086985702533373, 5.35256990903551, 5.631557188367122, 5.922053591617514, 6.222447409141673, 6.531373164846843, 6.847676227658003, 7.170380370704692, NaN}Rotate(H, 60°, G) → IAngle(H, G, I) → γSegment(H, G) → jSegment(G, I) → kSequence(G + (i / n * (H - G)), i, 1, n) → l7, {(12.070954265838619, -2.175703889167731), (11.940902704131636, -2.41376437500424), (11.810851142424653, -2.6518248608407493), (11.680799580717672, -2.889885346677258), (11.550748019010689, -3.1279458325137672), (11.420696457303706, -3.3660063183502764), (11.290644895596722, -3.604066804186785), (11.16059333388974, -3.842127290023295), (11.030541772182756, -4.0801877758598035), (10.900490210475773, -4.318248261696313), (10.77043864876879, -4.556308747532822), (10.640387087061807, -4.794369233369331), (10.510335525354826, -5.03242971920584), (10.380283963647843, -5.270490205042349), (10.25023240194086, -5.508550690878858), (10.120180840233877, -5.746611176715367), (9.990129278526894, -5.984671662551877), (9.86007771681991, -6.222732148388385), (9.730026155112927, -6.4607926342248945), (9.599974593405946, -6.698853120061404), (9.469923031698963, -6.936913605897914), (9.33987146999198, -7.174974091734422), (9.209819908284997, -7.413034577570931), (9.079768346578014, -7.651095063407441), (8.94971678487103, -7.8891555492439505), (8.819665223164048, -8.127216035080458), (8.689613661457066, -8.365276520916968), (8.559562099750083, -8.603337006753476), (8.4295105380431, -8.841397492589985), (8.299458976336117, -9.079457978426495), (8.169407414629134, -9.317518464263005), (8.039355852922153, -9.555578950099513), (7.909304291215169, -9.793639435936022), (7.779252729508186, -10.031699921772532)}Sequence(G + (i / n * (I - G)), i, 1, n) → l8, {(12.342146475063792, -2.169301602489563), (12.483287122581984, -2.4009598016479043), (12.624427770100175, -2.6326180008062456), (12.765568417618367, -2.8642761999645865), (12.906709065136557, -3.095934399122928), (13.047849712654749, -3.327592598281269), (13.188990360172939, -3.55925079743961), (13.33013100769113, -3.7909089965979517), (13.471271655209321, -4.0225671957562925), (13.612412302727513, -4.254225394914634), (13.753552950245703, -4.485883594072975), (13.894693597763894, -4.717541793231316), (14.035834245282086, -4.949199992389657), (14.176974892800276, -5.1808581915479985), (14.318115540318466, -5.41251639070634), (14.459256187836658, -5.644174589864681), (14.60039683535485, -5.875832789023022), (14.74153748287304, -6.107490988181363), (14.88267813039123, -6.3391491873397054), (15.023818777909423, -6.570807386498046), (15.164959425427613, -6.802465585656387), (15.306100072945805, -7.034123784814728), (15.447240720463995, -7.265781983973071), (15.588381367982187, -7.4974401831314115), (15.729522015500377, -7.729098382289752), (15.870662663018567, -7.960756581448093), (16.01180331053676, -8.192414780606434), (16.15294395805495, -8.424072979764775), (16.29408460557314, -8.655731178923117), (16.435225253091332, -8.887389378081458), (16.576365900609524, -9.1190475772398), (16.717506548127716, -9.35070577639814), (16.858647195645904, -9.582363975556483), (16.999787843164096, -9.814022174714824)}Sequence(Segment[Element[l7, i], Element[l8, n - i]], i, 1, n) → l9, {8.819332016963127, 8.42241653498869, 8.033374171167786, 7.653405652442275, 7.283931137057782, 6.926630115696898, 6.5834849382126945, 6.256825099471969, 5.949366684009846, 5.664237351836963, 5.404972047735174, 5.175459218017947, 4.979814315780272, 4.822161376773719, 4.70631993062107, 4.6354257039444455, 4.6115521081227575, 4.635425703944445, 4.70631993062107, 4.822161376773718, 4.979814315780274, 5.175459218017945, 5.404972047735172, 5.664237351836963, 5.9493666840098465, 6.25682509947197, 6.5834849382126945, 6.926630115696897, 7.283931137057782, 7.6534056524422756, 8.033374171167786, 8.422416534988688, 8.819332016963125, NaN}Rotate(K, 60°, J) → LAngle(K, J, L) → δSegment(K, J) → lSegment(J, L) → m_{1}Sequence(J + (i / n * (K - J)), i, 1, n) → l10, {(12.030542763613287, -5.122069778687488), (11.910043011523202, -5.333679099431051), (11.789543259433115, -5.545288420174615), (11.66904350734303, -5.756897740918179), (11.548543755252945, -5.968507061661742), (11.42804400316286, -6.180116382405306), (11.307544251072775, -6.391725703148869), (11.187044498982688, -6.603335023892432), (11.066544746892603, -6.814944344635997), (10.946044994802518, -7.02655366537956), (10.825545242712433, -7.238162986123124), (10.705045490622346, -7.449772306866688), (10.584545738532261, -7.66138162761025), (10.464045986442176, -7.872990948353815), (10.343546234352091, -8.084600269097379), (10.223046482262006, -8.296209589840942), (10.10254673017192, -8.507818910584506), (9.982046978081835, -8.71942823132807), (9.86154722599175, -8.931037552071633), (9.741047473901665, -9.142646872815195), (9.62054772181158, -9.354256193558761), (9.500047969721493, -9.565865514302324), (9.379548217631408, -9.777474835045886), (9.259048465541323, -9.98908415578945), (9.138548713451238, -10.200693476533015), (9.018048961361153, -10.412302797276578), (8.897549209271066, -10.62391211802014), (8.777049457180981, -10.835521438763704), (8.656549705090896, -11.047130759507269), (8.536049953000811, -11.258740080250831), (8.415550200910726, -11.470349400994396), (8.29505044882064, -11.68195872173796), (8.174550696730554, -11.893568042481522), (8.05405094464047, -12.105177363225087)}Sequence(J + (i / n * (L - J)), i, 1, n) → l11, {(12.274051687099824, -5.120620964775447), (12.397060858496278, -5.3307814716069695), (12.52007002989273, -5.540941978438492), (12.643079201289183, -5.751102485270015), (12.766088372685635, -5.961262992101538), (12.88909754408209, -6.171423498933061), (13.012106715478541, -6.381584005764584), (13.135115886874994, -6.591744512596106), (13.258125058271446, -6.801905019427629), (13.3811342296679, -7.012065526259152), (13.504143401064352, -7.222226033090674), (13.627152572460805, -7.432386539922197), (13.750161743857257, -7.6425470467537195), (13.873170915253711, -7.852707553585242), (13.996180086650163, -8.062868060416765), (14.119189258046616, -8.273028567248288), (14.242198429443068, -8.48318907407981), (14.365207600839522, -8.693349580911333), (14.488216772235974, -8.903510087742855), (14.611225943632427, -9.11367059457438), (14.73423511502888, -9.3238311014059), (14.857244286425333, -9.533991608237425), (14.980253457821785, -9.744152115068946), (15.10326262921824, -9.95431262190047), (15.226271800614692, -10.164473128731993), (15.349280972011144, -10.374633635563516), (15.472290143407596, -10.584794142395037), (15.595299314804048, -10.794954649226561), (15.718308486200502, -11.005115156058082), (15.841317657596955, -11.215275662889606), (15.964326828993407, -11.425436169721129), (16.08733600038986, -11.635596676552652), (16.21034517178631, -11.845757183384174), (16.333354343182766, -12.055917690215697)}Sequence(Segment[Element[l10, i], Element[l11, n - i]], i, 1, n) → l12, {7.916989357542796, 7.560683954753612, 7.211446138547212, 6.870353784481716, 6.538681748486685, 6.217937685544904, 5.909901123024145, 5.6166632154510205, 5.340662153418342, 5.084705592990164, 4.8519668039973, 4.6459363895854295, 4.470308733670677, 4.328785924698345, 4.224796700277617, 4.161155957755335, 4.139724969140433, 4.161155957755336, 4.224796700277618, 4.328785924698345, 4.4703087336706755, 4.6459363895854295, 4.851966803997302, 5.084705592990164, 5.340662153418342, 5.61666321545102, 5.909901123024147, 6.2179376855449044, 6.5386817484866855, 6.870353784481714, 7.211446138547213, 7.560683954753613, 7.916989357542796, NaN}Rotate(N, 60°, M) → OAngle(N, M, O) → εSegment(N, M) → pSegment(O, M) → qSequence(M + (i / m * (N - M)), i, 1, m) → l13, {(12.198507661953467, 1.3699278406244226), (12.196009496361356, 1.255012223387293), (12.193511330769244, 1.1400966061501632), (12.191013165177132, 1.0251809889130334), (12.18851499958502, 0.9102653716759038), (12.18601683399291, 0.7953497544387741), (12.183518668400799, 0.6804341372016445), (12.181020502808687, 0.5655185199645146), (12.178522337216576, 0.450602902727385), (12.176024171624464, 0.3356872854902553)}Sequence(M + (i / m * (O - M)), i, 1, m) → l14, {(12.299276588568446, 1.4252221743773588), (12.397547349591314, 1.3656008908931652), (12.49581811061418, 1.3059796074089716), (12.594088871637048, 1.2463583239247777), (12.692359632659915, 1.1867370404405841), (12.790630393682784, 1.1271157569563905), (12.888901154705652, 1.067494473472197), (12.987171915728519, 1.0078731899880033), (13.085442676751386, 0.9482519065038096), (13.183713437774253, 0.888630623019616)}Sequence(Segment[Element[l13, i], Element[l14, m - i]], i, 1, m) → l15, {0.982071440319428, 0.8288640875610658, 0.6991695623407078, 0.6082199582855303, 0.5747138400177104, 0.6082199582855282, 0.6991695623407067, 0.8288640875610656, 0.9820714403194282, NaN}Rotate(O, 60°, M) → PAngle(O, M, P) → ζSequence(M + (i / m * (O - M)), i, 1, m) → l16, {(12.299276588568446, 1.4252221743773588), (12.397547349591314, 1.3656008908931652), (12.49581811061418, 1.3059796074089716), (12.594088871637048, 1.2463583239247777), (12.692359632659915, 1.1867370404405841), (12.790630393682784, 1.1271157569563905), (12.888901154705652, 1.067494473472197), (12.987171915728519, 1.0078731899880033), (13.085442676751386, 0.9482519065038096), (13.183713437774253, 0.888630623019616)}Sequence(M + (i / m * (P - M)), i, 1, m) → l17, {(12.301774754160558, 1.5401377916144883), (12.402543680775537, 1.5954321253674244), (12.503312607390516, 1.6507264591203603), (12.604081534005495, 1.7060207928732964), (12.704850460620474, 1.7613151266262324), (12.805619387235453, 1.8166094603791683), (12.906388313850432, 1.8719037941321044), (13.00715724046541, 1.9271981278850403), (13.10792616708039, 1.9824924616379764), (13.208695093695368, 2.0377867953909123)}Sequence(Segment[Element[l16, i], Element[l17, m - i]], i, 1, m) → l18, {0.9820714403194274, 0.828864087561065, 0.6991695623407069, 0.6082199582855291, 0.5747138400177104, 0.6082199582855295, 0.6991695623407072, 0.8288640875610654, 0.9820714403194278, NaN}Rotate(P, 60°, M) → RAngle(P, M, R) → ηSegment(P, M) → rSegment(M, R) → sSequence(M + (i / m * (P - M)), i, 1, m) → l19, {(12.301774754160558, 1.5401377916144883), (12.402543680775537, 1.5954321253674244), (12.503312607390516, 1.6507264591203603), (12.604081534005495, 1.7060207928732964), (12.704850460620474, 1.7613151266262324), (12.805619387235453, 1.8166094603791683), (12.906388313850432, 1.8719037941321044), (13.00715724046541, 1.9271981278850403), (13.10792616708039, 1.9824924616379764), (13.208695093695368, 2.0377867953909123)}Sequence(M + (i / m * (R - M)), i, 1, m) → l20, {(12.20350399313769, 1.5997590750986819), (12.206002158729802, 1.7146746923358116), (12.208500324321914, 1.829590309572941), (12.210998489914026, 1.9445059268100708), (12.213496655506138, 2.0594215440472006), (12.215994821098247, 2.17433716128433), (12.218492986690359, 2.2892527785214596), (12.22099115228247, 2.4041683957585893), (12.223489317874582, 2.5190840129957186), (12.225987483466694, 2.6339996302328483)}Sequence(Segment[Element[l19, i], Element[l20, m - i]], i, 1, m) → l21, {0.9820714403194273, 0.8288640875610651, 0.699169562340707, 0.6082199582855293, 0.5747138400177098, 0.6082199582855283, 0.6991695623407063, 0.8288640875610646, 0.9820714403194273, NaN}Rotate(R, 60°, M) → SAngle(R, M, S) → θSegment(M, S) → tSequence(M + (i / m * (R - M)), i, 1, m) → l22, {(12.20350399313769, 1.5997590750986819), (12.206002158729802, 1.7146746923358116), (12.208500324321914, 1.829590309572941), (12.210998489914026, 1.9445059268100708), (12.213496655506138, 2.0594215440472006), (12.215994821098247, 2.17433716128433), (12.218492986690359, 2.2892527785214596), (12.22099115228247, 2.4041683957585893), (12.223489317874582, 2.5190840129957186), (12.225987483466694, 2.6339996302328483)}Sequence(M + (i / m * (S - M)), i, 1, m) → l23, {(12.102735066522712, 1.544464741345746), (12.004464305499845, 1.6040860248299396), (11.906193544476977, 1.6637073083141332), (11.80792278345411, 1.7233285917983268), (11.709652022431243, 1.7829498752825204), (11.611381261408374, 1.842571158766714), (11.513110500385507, 1.9021924422509076), (11.41483973936264, 1.9618137257351012), (11.316568978339772, 2.021435009219295), (11.218298217316905, 2.0810562927034884)}Sequence(Segment[Element[l22, i], Element[l23, m - i]], i, 1, m) → l24, {0.982071440319428, 0.8288640875610658, 0.6991695623407078, 0.6082199582855303, 0.5747138400177103, 0.6082199582855278, 0.6991695623407062, 0.8288640875610648, 0.9820714403194271, NaN}Rotate(S, 60°, M) → TAngle(S, M, T) → ιSegment(M, T) → b_{1}Sequence(M + (i / m * (S - M)), i, 1, m) → l25, {(12.102735066522712, 1.544464741345746), (12.004464305499845, 1.6040860248299396), (11.906193544476977, 1.6637073083141332), (11.80792278345411, 1.7233285917983268), (11.709652022431243, 1.7829498752825204), (11.611381261408374, 1.842571158766714), (11.513110500385507, 1.9021924422509076), (11.41483973936264, 1.9618137257351012), (11.316568978339772, 2.021435009219295), (11.218298217316905, 2.0810562927034884)}Sequence(M + (i / m * (T - M)), i, 1, m) → l26, {(12.1002369009306, 1.4295491241086165), (11.999467974315621, 1.3742547903556803), (11.898699047700642, 1.3189604566027442), (11.797930121085663, 1.2636661228498083), (11.697161194470684, 1.2083717890968724), (11.596392267855705, 1.1530774553439362), (11.495623341240726, 1.097783121591), (11.394854414625748, 1.0424887878380642), (11.294085488010769, 0.9871944540851282), (11.19331656139579, 0.9319001203321922)}Sequence(Segment[Element[l25, i], Element[l26, m - i]], i, 1, m) → l27, {0.9820714403194276, 0.8288640875610652, 0.699169562340707, 0.6082199582855291, 0.5747138400177102, 0.6082199582855292, 0.6991695623407072, 0.8288640875610653, 0.9820714403194278, NaN}Rotate(T, 60°, M) → UAngle(T, M, U) → κSequence(M + (i / m * (T - M)), i, 1, m) → l28, {(12.1002369009306, 1.4295491241086165), (11.999467974315621, 1.3742547903556803), (11.898699047700642, 1.3189604566027442), (11.797930121085663, 1.2636661228498083), (11.697161194470684, 1.2083717890968724), (11.596392267855705, 1.1530774553439362), (11.495623341240726, 1.097783121591), (11.394854414625748, 1.0424887878380642), (11.294085488010769, 0.9871944540851282), (11.19331656139579, 0.9319001203321922)}Sequence(M + (i / m * (U - M)), i, 1, m) → l29, {(12.198507661953467, 1.3699278406244226), (12.196009496361356, 1.2550122233872931), (12.193511330769244, 1.1400966061501636), (12.191013165177132, 1.0251809889130339), (12.18851499958502, 0.9102653716759043), (12.18601683399291, 0.7953497544387746), (12.183518668400799, 0.680434137201645), (12.181020502808687, 0.5655185199645154), (12.178522337216576, 0.4506029027273857), (12.176024171624464, 0.33568728549025617)}Sequence(Segment[Element[l28, i], Element[l29, m - i]], i, 1, m) → l30, {0.9820714403194277, 0.8288640875610651, 0.6991695623407069, 0.6082199582855295, 0.5747138400177096, 0.6082199582855283, 0.6991695623407063, 0.8288640875610647, 0.9820714403194273, NaN}
AI 绘图提示语参考
以平面为画布,构造一组三角形/扇形对称的几何卡片外形:先取三组等间隔旋转的基准点,形成三条夹角(标注为三个角的概念即可)。连接每组基准点得到若干边线,并在两条对应边之间取等分点序列,形成多条平行/分段对应的内侧折线。重复对第二、第三组旋转得到其镜像对称部分;再在连续旋转后的四段(对应多条线段序列)之间取端点连接,形成类似“花边/装饰立体轮廓”的多边形拱带。整体强调每组都保持约60°旋转对称与相互对应的对应长度变化。
以上提示语为根据原始绘图命令整理而来,仅供参考。